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Theory of interest / Renterekening - 152

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Jonathan is buying a car today. The car costs R388877 and he can afford to make monthly payments of R13824 at the end of every month. He must pay interest at a rate of 7.503% per year compounded monthly. If the last payment Jonathan makes can be smaller than R13824, how many payments must Jonathan make to repay the car loan?

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Jonathan koop vandag 'n kar. Die kar kos R388877 en hy kan bekostig om maandelikse paaiemente van R13824 te maak aan die einde van elke maand. Hy moet rente betaal teen 'n koers van 7.503% per jaar, maandeliks saamgestel. Indien die laaste paaiement wat Jonathan maak kleiner as R13824 kan wees, hoeveel paaiemente moet Jonathan maak om die kar af te betaal?

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Zinzi is buying a car today, 01/03/2020. She can afford to make monthly payments of R1970 at the end of every month, but she can only make the first payment on 01/07/2020. If she must pay interest at a rate of 13.261% per year, compounded monthly, and she wants to make exactly 2 payments, what is the cash-price of the car that she can buy? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Zinzi koop vandag, 01/03/2020, 'n kar. Sy kan bekostig om maandelikse paaiemente van R1970 aan die einde van elke maand te maak, maar sy kan die eerste paaiement eers op 01/07/2020 maak. Indien sy rente moet betaal teen 'n koers van 13.261% per jaar, maandeliks saamgestel, en sy wil presies 2 paaiemente betaal, wat is die kontantprys van die kar wat sy kan koop? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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What single amount can be invested on 01/06/2020, instead of R1194 at the beginning of every 2-month period, for exactly 2 years (the first investment is made on 01/06/2020), if interest is earned at a rate of 13.255% per year? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Watter enkele bedrag kan belê word op 01/06/2020, in plaas van R1194 aan die begin van elke 2-maand periode, vir presies 2 jaar (die eerste belegging word gemaak op 01/06/2020), indien rente verdien word teen 'n koers van 13.255% per jaar? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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Jonathan is buying a car today. The car costs R412766 and he can afford to make monthly payments of R12752 at the end of every month. He must pay interest at a rate of 7.242% per year compounded monthly. If the last payment Jonathan makes can be larger than R12752, how many payments must Jonathan make to repay the car loan?

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Jonathan koop vandag 'n kar. Die kar kos R412766 en hy kan bekostig om maandelikse paaiemente van R12752 te maak aan die einde van elke maand. Hy moet rente betaal teen 'n koers van 7.242% per jaar, maandeliks saamgestel. Indien die laaste paaiement wat Jonathan maak groter as R12752 kan wees, hoeveel paaiemente moet Jonathan maak om die kar af te betaal?

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What discount rate per year, corresponds to an interest rate of 10.03% per year?

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Watter jaarlikse diskontokoers, stem ooreen met 'n rentekoers van 10.03% per jaar?

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What annual rate of interest, corresponds to a discount rate of 9.77% per year?

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Watter jaarlikse rentekoers, stem ooreen met 'n diskontokoers van 9.77% per jaar?

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 A person owes the following amounts to an organisation:

  1. R6338 with interest at a rate of 7% p.a. compounded quarterly, payable in exactly 9 years. The interest still has to be added.
  2. R11091 without any further interest payable in exactly 5 years.

She has an investment that matures in exactly 14 years and wishes to pay off all her debts on that date. Find the amount RX which she will have to pay in exactly 14 years if a rate of interest of 5% p.a. has to be used for finding equivalent debts at that date. (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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'n Persoon skuld die volgende bedrae aan 'n instansie:

  1. R6338 saam met rente teen 7% p.j. kwartaalliks saamgestel, betaalbaar oor presies 9 jaar. Die rente moet dus nog bygereken word.
  2. R11091 waarby rente reeds ingesluit is, betaalbaar oor presies 5 jaar.

Sy het 'n belegging wat oor presies 14 jaar uitbetaal en besluit om op daardie dag al haar skuld te delg. Bepaal die bedrag RX wat sy oor presies 14 jaar sal moet betaal indien die vereffeningskoers 5% p.j. is wat sy moet gebruik om die ekwivalente bedrae van haar skuld op daardie datum te vind. (Gee jou antwoord afgerond tot 2 desimale plekke. Indien jy dink die antwoord is R1012.3456, tik in 1012.35)

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 A person owes the following amounts to an organisation:

  1. R6632 with interest at a rate of 7% p.a. compounded monthly, payable in exactly 8 years. The interest still has to be added.
  2. R7859 without any further interest payable in exactly 7 years.

She has an investment that matures in exactly 14 years and wishes to pay off all her debts on that date. Find the amount RX which she will have to pay in exactly 14 years if a rate of interest of 4% p.a. has to be used for finding equivalent debts at that date. (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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'n Persoon skuld die volgende bedrae aan 'n instansie:

  1. R6632 saam met rente teen 7% p.j. maandeliks saamgestel, betaalbaar oor presies 8 jaar. Die rente moet dus nog bygereken word.
  2. R7859 waarby rente reeds ingesluit is, betaalbaar oor presies 7 jaar.

Sy het 'n belegging wat oor presies 14 jaar uitbetaal en besluit om op daardie dag al haar skuld te delg. Bepaal die bedrag RX wat sy oor presies 14 jaar sal moet betaal indien die vereffeningskoers 4% p.j. is wat sy moet gebruik om die ekwivalente bedrae van haar skuld op daardie datum te vind. (Gee jou antwoord afgerond tot 2 desimale plekke. Indien jy dink die antwoord is R1012.3456, tik in 1012.35)

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At what interest rate, compounded 4 times per year, must an amount of R11979 be invested so that it accumulates to an amount of R66182 in exactly 10 years (there may be more than one correct answer)?

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Teen watter rentekoers, 4 keer per jaar saamgestel, moet 'n bedrag van R11979 belê word vir presies 10 jaar sodat dit tot 'n bedrag van R66182 sal akkumuleer (daar mag meer as een korrekte antwoord wees)?

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What effective interest rate per 3 months, corresponds to a nominal interest rate of 13.31% p.a., compounded 2 times per year?

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Watter effektiewe rentekoers per 3 maande, stem ooreen met 'n nominale rentekoers van 13.31% p.j. 2 keer per jaar saamgestel?

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